Firefighters were called out to deal with burning rubbish at the back of the former Gardeners Arms pub in Hanover Street, Keighley, at 10.30pm on Sunday.
Someone had stacked a mattress and other items against the rear entrance to the building and set it alight.
One crew from Keighley fire station entered the premises to ensure the blaze had not spread inside. Damage was restricted to an external fascia board.
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